Question

What is the volume of this sphere?
the radius is 0.4
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

The volume \( V \) of a sphere can be calculated using the formula:

\[
V = \frac{4}{3} \pi r^3
\]

Where \( r \) is the radius of the sphere. Given that the radius \( r = 0.4 \), we can substitute this value into the formula.

First, calculate \( r^3 \):

\[
r^3 = (0.4)^3 = 0.4 \times 0.4 \times 0.4 = 0.064
\]

Now, substitute \( r^3 \) into the volume formula:

\[
V = \frac{4}{3} \times 3.14 \times 0.064
\]

Now calculate \( \frac{4}{3} \times 3.14 \):

\[
\frac{4}{3} \times 3.14 \approx 4.1867
\]

Now multiply by \( 0.064 \):

\[
V \approx 4.1867 \times 0.064 = 0.2679648
\]

Finally, round this result to the nearest hundredth:

\[
V \approx 0.27
\]

Thus, the volume of the sphere is approximately **0.27** cubic units.